Question

the volume of cylinder of height 8 cm is 1232 cm cube find its curved surface area and total surface area

Answer 1

Hii !!



Height of cylinder ( H ) = 8 cm

Volume of cylinder = 1232


πR²H = 1232



22/7 × R² × 8 = 1232



R² = ( 1232 × 7 ) / ( 22 × 8 )


R² = 8624/176


R² = 49


R = √49 = 7 cm.


Therefore,


Curved surface area of cylinder = 2πRH = 2 × 22/7 × 7 × 8 = 352 cm².



And,

Total surface area of cylinder = 2πR ( R + H ) = 2 × 22/7 × 7 ( 7 + 8 ) = 44 ( 15 ) = 660 cm².

Answer 2

according to questions

given:-

Height (h ) = 8 cm

volume of cylinder = 1232 cm3

find :-

curved surface area ( c s a ) = ?

Total surface area ( T S A ) = ?

using formula :-

volume of cylinder = πr2h

πr2h = 1232cm3

$\frac{22}{7} \times {r}^{2} \times 8 = 1232 {cm}^{3} \\ \\ {r}^{2} = \frac{ 1232 \times 7\: }{22 \times 8} \\ \\ {r}^{2} = \frac{8624}{176} = 49 \\ \\ {r}^{2} = 49 \\ \\ r = \sqrt{49} \\ \\ r = 7cm$

then find

curved surface area of cylinder = 2πrh

$2 \times \frac{22}{7} \times 7 \times 8 \: \\ \\ = 16 \times 22 \\ \\ = 352 {cm}^{2}$

next

total surface area ( TSA ) = 2πr( r + h)

$2 \times \frac{22}{7} \times 7(7 + 8) \\ \\ 44(7 + 8) \\ \\ = 44(15) \\ \\ = 660 {cm}^{2} \\ \\ be \: brainly$